The height of trapezoid VWXZ is units. The upper base, VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX. What is the length of the lower base, ZX?

14 units

units

18 units

units

18units

Question:

The complete question as seen from other website is stated below:

The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

What is the length of the lower base, ZX?

Step-by-step explanation:

VW = 10units

WY = 8√3

XY = ?

ZX = ?

Find attached the diagram obtained from the information (1st image).

To determine XY, we would apply the tangent ratio.

Tan 60 = opposite/adjacent

Tan60 = (8√3)/XY

XY = (8√3)/ Tan60

In a 30°-60°-90° triangle theorem:

Find attached the diagram (2nd image)

Tan 60 = opposite/adjacent

Tan 60 = √3/1

Tan60= √3

XY = (8√3)/ Tan60

XY = (8√3)/√3

XY = 8units

ZX = ZY + XY

VW = ZY = 10units (the breadth of rectangle are equal)

ZX = 10 + 8

ZX = 18 units

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

idk lol

step-by-step explanation: